Factors Of 4 In Pairs

The factors of four are the numbers that divide 4 exactly without leaving whatever residual. The factors and the pair factors of 4 can be positive or negative. For case, the pair factors of 4 can be (1, 4) or (-i, -four). If we multiply a pair of negative numbers, such equally multiplying -1 and -4, information technology will result in the original number four. Hither, we are going to discuss what are the factors of 4, pair factors and the prime factors of 4 using the prime factorization method and many solved examples.

Table of Contents:

What are the Factors of 4?
Pair Factors of four
Factors of 4 by Sectionalization Method
Prime Factorization iv
Solved Examples
Exercise Questions
FAQs

What are the Factors of 4?

The numbers that carve up 4 exactly without leaving a rest, then the numbers are the factors of 4. In other words, if nosotros multiply a pair of numbers together, which results in the original number 4, the numbers are the factors of 4. As four is an fifty-fifty blended number , it has more than two factors. Thus, the factors of 4 are one, 2 and four. Similarly, the negative factors of 4 are -1, -two and -4.

Factors of iv: 1, 2 and 4.

Prime Factorization of 4: 2 ×ii or 2 ^two .

Pair Factors of 4

A pair factor of iv is defined as the pair of numbers, which on multiplication results in four. The positive and negative pair factors of 4 are given below:

Positive Pair Factors of 4:

Positive Factors of 4	Positive Pair Factors of 4
one × 4	(i, 4)
2 × 2	(2, ii)

Hence, the positive pair factors of iv are (one, 4) and (2, 2).

Negative Pair Factors of iv:

Negative Factors of 4	Negative Pair Factors of 4
-one × -4	(-i, -four)
-2 × -2	(-ii, -2)

Therefore, the negative pair factors of 4 are (-1, -4) and (-2, -2).

Factors of 4 by Sectionalization Method

In the division method, the factors of 4 are found by dividing the number 4 by dissimilar integer numbers. The integers divide four exactly and get out a remainder 0 are the factors of iv. Now, let us discuss how to observe the factors of 4 using the partition method.

iv/i = 4 (Factor is 1 and Residuum is 0)
iv/ii = 2 (Factor is two and Remainder is 0)
4/4 = i (Factor is 4 and Remainder is 0)

If any numbers other than 1, ii, and 4 divides iv, it leaves a remainder. Hence, the factors of 4 are 1, 2 and 4.

Prime Factorization of 4

The process of writing the number 4 as the production of its prime factors is chosen the prime factorization of iv. Get through the post-obit process to find the prime factors of 4.

Consider a pair factor of 4, say (1, 4)

Here, number i cannot be split further. Now take the other gene, say "four".

We know that the number 4 is an fifty-fifty composite number and it can be further factored equally the production of 2 and ii.

Hence, 4 can be written as 2 ×2.

Therefore, the prime factorization of 4 is 2 ×2 or 2 ² .

Video Lesson on Prime Factors

Solved Examples

Case 1:

Find the common factors of iv and three.

Solution:

The factors of 4 are 1, 2 and 4.

The factors of 3 are one and iii.

Equally three is a prime number, the mutual factor of 4 and 3 is 1.

Example 2:

Discover the mutual factors of iv and 5.

Solution:

Factors of 4 = i, 2 and 4.

Factors of 5 = ane and v.

As 5 is a prime, the common gene of iv and v is 1.

Instance 3:

Find the common factors of iv and 8.

Solution:

The factors of iv are i, 2 and 4.

The factors of eight are 1, two, 4 and 8.

Hence, the common factors of 4 and 8 are i, ii and 4.

Exercise Questions

one. Observe the common factors of four and 16?

2. What is the to the lowest degree common factor of 4 and 8?

3. What is the greatest common factor of 4 and eight?

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Often Asked Questions on Factors of four

What are the Factors of 4?

The factors of 4 are 1, ii and 4.

What is the prime factorization of 4?

The prime factorization of 4 is 2 ×2 or ii^two.

Write downwardly the positive and negative pair factors of iv.

The positive pair factors of 4 are (i, 4) and (ii, two).
The negative pair factors of 4 are (-one, -four) and (-2, -2).

What is the sum of factors of iv?

The sum of factors of 4 is 7. Nosotros know that the factors of four are 1, 2 and four.
Hence, the sum of factors of 4 = ane+ii+4.

Is 2 a factor of 4?

Yes, 2 is a cistron of 4. If iv is divisible by two, information technology leaves a residual 0, and hence 2 is a factor of 4.